Search a number
-
+
31119 = 3112341
BaseRepresentation
bin111100110001111
31120200120
413212033
51443434
6400023
7156504
oct74617
946616
1031119
1121420
1216013
131121a
14b4ab
159349
hex798f

31119 has 16 divisors (see below), whose sum is σ = 48384. Its totient is φ = 17600.

The previous prime is 31091. The next prime is 31121. The reversal of 31119 is 91113.

It is a de Polignac number, because none of the positive numbers 2k-31119 is a prime.

It is a super-2 number, since 2×311192 = 1936784322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 31098 and 31107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

231119 is an apocalyptic number.

31119 is a deficient number, since it is larger than the sum of its proper divisors (17265).

31119 is a wasteful number, since it uses less digits than its factorization.

31119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78.

The product of its digits is 27, while the sum is 15.

The square root of 31119 is about 176.4057822182. The cubic root of 31119 is about 31.4539513606.

The spelling of 31119 in words is "thirty-one thousand, one hundred nineteen".

Divisors: 1 3 11 23 33 41 69 123 253 451 759 943 1353 2829 10373 31119